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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 10304.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10304.n1 | 10304x1 | \([0, -1, 0, 7, 49]\) | \(32000/1127\) | \(-1154048\) | \([]\) | \(768\) | \(-0.15684\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10304.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10304.n do not have complex multiplication.Modular form 10304.2.a.n
sage: E.q_eigenform(10)